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Finding the Third Proportional to 50,015 and 77,419

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Solution

The third proportional to 50,015 and 77,419 is: 119,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,015 : 77,419 = 77,419 : x
  2. Step 2: Convert to fraction form
    50,015/77,419 = 77,419/x
  3. Step 3: Cross multiply
    50,015x = 77,419 × 77,419
  4. Step 4: Simplify right side
    50,015x = 5,993,701,561
  5. Step 5: Solve for x
    x = 5,993,701,561/50,015
  6. Step 6: Final answer
    x = 119,838.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.